Answer:
b = 0.
Step-by-step explanation:
The only value for b that makes the equation true is 0. So, the equation has a unique solution of b = 0.
Answer:
Step-by-step explanation:
The equation for a circle is 
, where 
is the vertex of the circle and 
is the radius. Immediately, since the center of the circle is given, we know what 
and 
are. is 230 and is 220.
The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that 
, where 
is the change in the x-coordinates of the two points and 
is the change in the y-coordinates of the two points. Plug-in for 60 and for 50 to get 
. Solve for 
, arriving at 
. Therefore, the radius of the circle is .
Finally, we have all of the components to create the equation of the circle. Plug-in 230 for , 220 for , and for .
The equation of the circle will be .
Hope this helps :)
Answer:
(a) A = 700×1.015^t
(b) 36.2 years
Step-by-step explanation:
(a) Each year, the account value is multiplied by (1 + 1.5%) = 1.015. Repeated multiplication is signified using an exponent. In t years, when the account has been multiplied by 1.015 t times, the account value will be ...
A = $700×1.015^t
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(b) You want to find t when A=$1200. Logarithms are involved.
1200 = 700×1.015^t . . . . use 1200 for A
1200/700 = 1.015^t . . . . . divide by 700
log(12/7) = t×log(1.015) . . . . . take logarithms
log(12/7)/log(1.015) = t ≈ 36.2 . . . . divide by the coefficient of t
It will take about 36.2 years for the account balance to reach $1200.
if the lower pointvis 56 the dot line will be 55.5
